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Finding the Third Proportional to 856,978 and 1,258,947

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Solution

The third proportional to 856,978 and 1,258,947 is: 1,849,461.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,978 : 1,258,947 = 1,258,947 : x
  2. Step 2: Convert to fraction form
    856,978/1,258,947 = 1,258,947/x
  3. Step 3: Cross multiply
    856,978x = 1,258,947 × 1,258,947
  4. Step 4: Simplify right side
    856,978x = 1,584,947,548,809
  5. Step 5: Solve for x
    x = 1,584,947,548,809/856,978
  6. Step 6: Final answer
    x = 1,849,461.19

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.